Learn how to find the composition of cosine and sine inverse

The video tutorial explains how to solve composition problems by focusing on the innermost function first. It uses the example of finding the angle for sine inverse of 1/2, highlighting the importance of understanding the unit circle and the restrictions of the sine inverse function. The tutorial also covers calculating the cosine of an angle and encourages practicing with calculators to reinforce learning.

What is the first step in solving a composition problem?

• Solve the outermost function first

• Solve the innermost function first

• Solve both functions simultaneously

• Ignore the functions and solve directly

What angle corresponds to the sine inverse of 1/2 within the restricted range?

• π/6

• 5π/6

• π/4

• π/3

Why is the inverse sine function restricted to certain angles?

• To avoid negative angles

• To simplify calculations

• To ensure a unique solution

• To match the cosine function

What is the cosine of the angle π/6?

• 1/2

• Sqrt 3 / 2

• Sqrt 2 / 2

• 0

What coordinate does the cosine of an angle represent on the unit circle?

• X-coordinate

• Z-coordinate

• Y-coordinate

• Origin